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Finding the Fourth Proportional to 5,804.82, 8,010.49 and 3,152.14

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Solution

The fourth proportional to 5,804.82, 8,010.49 and 3,152.14 is: 4,349.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.82 : 8,010.49 = 3,152.14 : x
  2. Step 2: Convert to fraction form
    5,804.82/8,010.49 = 3,152.14/x
  3. Step 3: Cross multiply
    5,804.82x = 8,010.49 × 3,152.14
  4. Step 4: Simplify right side
    5,804.82x = 25,250,185.95
  5. Step 5: Solve for x
    x = 25,250,185.95/5,804.82
  6. Step 6: Final answer
    x = 4,349.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.